Finite Group Databasebeta

← Group #314266

Character table — Group #314266

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444444444444444488888888161616161616161616161616161616163232
order12222222444444444488888888888888888888888844444444444444448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-111-11-1-11-1-1-111-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111-1-11111-1-11-1-1-1-11-1-1-1-111-1-111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111
χ51111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1111-1-1-1-111-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111111-1-111-1-1
χ9111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1-1-1-1-1-1111-1
χ10111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-11-1-11111-1-111-1-1-1-1-11
χ11111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1-11111-1-11111-11
χ12111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11-1-1111111-1-11-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111-111-1-1-1-11111-1-1-1-1-11
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-111111-1-1-1-1111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-11-111-1-11111-1-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-111111-1-1-1-1-1-11111-11
χ17222222222-22-22-22-2-2-2000022220000-2-2-2-200000000220000-2-20-20020000000000000
χ18222222222-22-22-22-2-2-2000022220000-2-2-2-200000000-2-20000220200-20000000000000
χ19222222222-22-22-22-2-2-20000-2-2-2-20000222200000000220000-2-20200-20000000000000
χ20222222222-22-22-22-2-2-20000-2-2-2-20000222200000000-2-20000220-20020000000000000
χ2122222222-22-22-22-22-2-222220000-2-2-2-200000000000000222200-20000-2000000000000
χ2222222222-22-22-22-22-2-222220000-2-2-2-200000000000000-2-2-2-200200002000000000000
χ2322222222-22-22-22-22-2-2-2-2-2-2000022220000000000000022-2-200-200002000000000000
χ2422222222-22-22-22-22-2-2-2-2-2-20000222200000000000000-2-2220020000-2000000000000
χ252-22-2-2-22222-2-222-2-2-222i2i−2i−2i00002i2i−2i−2i0000000000002-200002-20000000000002i−2i0000
χ262-22-2-2-22222-2-222-2-2-222i2i−2i−2i00002i2i−2i−2i000000000000-220000-22000000000000−2i2i0000
χ272-22-2-2-22222-2-222-2-2-22−2i−2i2i2i0000−2i−2i2i2i0000000000002-200002-2000000000000−2i2i0000
χ282-22-2-2-22222-2-222-2-2-22−2i−2i2i2i0000−2i−2i2i2i000000000000-220000-220000000000002i−2i0000
χ292-22-2-2-2222-2-222-2-222-200000000000000002i2i2i2i−2i−2i−2i−2i2-20000-22000000002i−2i00000000
χ302-22-2-2-2222-2-222-2-222-200000000000000002i2i2i2i−2i−2i−2i−2i-2200002-200000000−2i2i00000000
χ312-22-2-2-2222-2-222-2-222-20000000000000000−2i−2i−2i−2i2i2i2i2i2-20000-2200000000−2i2i00000000
χ322-22-2-2-2222-2-222-2-222-20000000000000000−2i−2i−2i−2i2i2i2i2i-2200002-2000000002i−2i00000000
χ332-22-2-2-222-222-2-222-22-22i2i−2i−2i0000−2i−2i2i2i00000000000000000000002i−2i002-20000000000
χ342-22-2-2-222-222-2-222-22-22i2i−2i−2i0000−2i−2i2i2i0000000000000000000000−2i2i00-220000000000
χ352-22-2-2-222-222-2-222-22-2−2i−2i2i2i00002i2i−2i−2i00000000000000000000002i−2i00-220000000000
χ362-22-2-2-222-222-2-222-22-2−2i−2i2i2i00002i2i−2i−2i0000000000000000000000−2i2i002-20000000000
χ372-2-22-222-20-202020-2002-22-2i2i2−i2−i20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2002-22-2000000000000i2−i200i2−i200
χ382-2-22-222-20-202020-2002-22-2i2i2−i2−i20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200-22-22000000000000−i2i200−i2i200
χ392-2-22-222-20-202020-2002-22-2−i2−i2i2i20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2002-22-2000000000000−i2i200−i2i200
χ402-2-22-222-20-202020-2002-22-2−i2−i2i2i20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200-22-22000000000000i2−i200i2−i200
χ412-2-22-222-20-202020-200-22-22i2i2−i2−i20000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2002-2-22000000000000−i2i200i2−i200
χ422-2-22-222-20-202020-200-22-22i2i2−i2−i20000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200-222-2000000000000i2−i200−i2i200
χ432-2-22-222-20-202020-200-22-22−i2−i2i2i20000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2002-2-22000000000000i2−i200−i2i200
χ442-2-22-222-20-202020-200-22-22−i2−i2i2i20000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200-222-2000000000000−i2i200i2−i200
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000000
χ464444-4-4-4-440-40-4040000000000000004-44-40000000000000000000000000000000000
χ474444-4-4-4-440-40-404000000000000000-44-440000000000000000000000000000000000
χ484444-4-4-4-4-404040-4000000000000000000022−2222−2222−2222−2200000000000000000000000000
χ494444-4-4-4-4-404040-40000000000000000000−2222−2222−2222−222200000000000000000000000000
χ5044-4-44-44-404040-40-40000000000000000002222−22−22−22−22222200000000000000000000000000
χ5144-4-44-44-404040-40-4000000000000000000−22−2222222222−22−2200000000000000000000000000
χ5244-4-44-44-40-40-40404004i−4i−4i4i0000000000000000000000000000000000000000000000
χ5344-4-44-44-40-40-4040400−4i4i4i−4i0000000000000000000000000000000000000000000000
χ5444-4-4-44-44000000000000002i2−2i22i2−2i22i2−2i22i2−2i200002-2-22-222-200000000000000000000000000
χ5544-4-4-44-44000000000000002i2−2i22i2−2i2−2i22i2−2i22i20000-222-22-2-2200000000000000000000000000
χ5644-4-4-44-4400000000000000−2i22i2−2i22i22i2−2i22i2−2i20000-222-22-2-2200000000000000000000000000
χ5744-4-4-44-4400000000000000−2i22i2−2i22i2−2i22i2−2i22i200002-2-22-222-200000000000000000000000000
χ584-44-444-4-44040-40-400000004-4-44000000000000000000000000000000000000000000
χ594-44-444-4-44040-40-40000000-444-4000000000000000000000000000000000000000000
χ604-44-444-4-4-40-4040400000000000000000002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000
χ614-44-444-4-4-40-404040000000000000000000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000
χ624-44-4-4-444-4-444-4-444-4400000000000000000000000000000000000000000000000000
χ634-4-444-4-4400000000000000000022−22−22222i2−2i2−2i22i22i−2i−2i2i2i−2i−2i2i00000000000000000000000000
χ644-4-444-4-4400000000000000000022−22−2222−2i22i22i2−2i2−2i2i2i−2i−2i2i2i−2i00000000000000000000000000
χ654-4-444-4-44000000000000000000−222222−222i2−2i2−2i22i2−2i2i2i−2i−2i2i2i−2i00000000000000000000000000
χ664-4-444-4-44000000000000000000−222222−22−2i22i22i2−2i22i−2i−2i2i2i−2i−2i2i00000000000000000000000000
χ674-4-44-444-4040-40-4040000002i22i2−2i2−2i20000−2i2−2i22i22i20000000000000000000000000000000000
χ684-4-44-444-4040-40-404000000−2i2−2i22i22i200002i22i2−2i2−2i20000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).